| A model for both time and space scheduling of inbound and outbound trucks at a cross-dock facility under various objectives is developed. Three different objectives in optimizing cross-dock operations are presented and the justification for the use of these objectives is given. A linear mixed integer formulation of the problem is presented and a restriction-approximation approach is developed and applied to determine the truck scheduling at an example cross-dock facility. This paper also emphasizes on analyzing the behavior of each of the objectives and comprehensive results analysis is provided. A Pareto and post-Pareto analysis of the multi-objective problem is presented. |